An -algebra approach to Artin’s solution of Hilbert’s Seventeenth Problem
- [1] The University of Toledo Toledo, Ohio, U.S.A.
Annales de la faculté des sciences de Toulouse Mathématiques (2010)
- Volume: 19, Issue: S1, page 215-220
- ISSN: 0240-2963
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topSteinberg, Stuart A.. "An $\ell $-algebra approach to Artin’s solution of Hilbert’s Seventeenth Problem." Annales de la faculté des sciences de Toulouse Mathématiques 19.S1 (2010): 215-220. <http://eudml.org/doc/115898>.
@article{Steinberg2010,
abstract = {Using lattice-ordered algebras it is shown that a totally ordered field which has a unique total order and is dense in its real closure has the property that each of its positive semidefinite rational functions is a sum of squares.},
affiliation = {The University of Toledo Toledo, Ohio, U.S.A.},
author = {Steinberg, Stuart A.},
journal = {Annales de la faculté des sciences de Toulouse Mathématiques},
keywords = {lattice-ordered algebra; Hilbert's seventeenth problem},
language = {eng},
month = {4},
number = {S1},
pages = {215-220},
publisher = {Université Paul Sabatier, Toulouse},
title = {An $\ell $-algebra approach to Artin’s solution of Hilbert’s Seventeenth Problem},
url = {http://eudml.org/doc/115898},
volume = {19},
year = {2010},
}
TY - JOUR
AU - Steinberg, Stuart A.
TI - An $\ell $-algebra approach to Artin’s solution of Hilbert’s Seventeenth Problem
JO - Annales de la faculté des sciences de Toulouse Mathématiques
DA - 2010/4//
PB - Université Paul Sabatier, Toulouse
VL - 19
IS - S1
SP - 215
EP - 220
AB - Using lattice-ordered algebras it is shown that a totally ordered field which has a unique total order and is dense in its real closure has the property that each of its positive semidefinite rational functions is a sum of squares.
LA - eng
KW - lattice-ordered algebra; Hilbert's seventeenth problem
UR - http://eudml.org/doc/115898
ER -
References
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